TSTP Solution File: NUM001-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM001-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 01:37:00 EDT 2024

% Result   : Unsatisfiable 0.54s 0.72s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  15   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f72,plain,
    $false,
    inference(subsumption_resolution,[],[f66,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).

fof(f66,plain,
    ~ equalish(add(add(b,c),a),add(a,add(b,c))),
    inference(resolution,[],[f59,f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition) ).

fof(f59,plain,
    ! [X0] :
      ( ~ equalish(add(b,add(c,a)),X0)
      | ~ equalish(X0,add(a,add(b,c))) ),
    inference(resolution,[],[f54,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( equalish(X0,X2)
      | ~ equalish(X1,X2)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

fof(f54,plain,
    ~ equalish(add(b,add(c,a)),add(a,add(b,c))),
    inference(resolution,[],[f45,f3]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ equalish(add(add(c,a),b),X0)
      | ~ equalish(X0,add(a,add(b,c))) ),
    inference(resolution,[],[f37,f2]) ).

fof(f37,plain,
    ~ equalish(add(add(c,a),b),add(a,add(b,c))),
    inference(resolution,[],[f30,f4]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ equalish(add(c,add(a,b)),X0)
      | ~ equalish(X0,add(a,add(b,c))) ),
    inference(resolution,[],[f25,f2]) ).

fof(f25,plain,
    ~ equalish(add(c,add(a,b)),add(a,add(b,c))),
    inference(resolution,[],[f16,f3]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ equalish(add(add(a,b),c),X0)
      | ~ equalish(X0,add(a,add(b,c))) ),
    inference(resolution,[],[f13,f2]) ).

fof(f13,axiom,
    ~ equalish(add(add(a,b),c),add(a,add(b,c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : NUM001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.09/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.30  % Computer : n023.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon May 20 05:01:08 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.09/0.30  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.72  % (8141)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.54/0.72  % (8142)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.54/0.72  % (8144)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.54/0.72  % (8145)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.54/0.72  % (8143)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.54/0.72  % (8146)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.54/0.72  % (8148)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.54/0.72  % (8147)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.54/0.72  % (8146)First to succeed.
% 0.54/0.72  % (8144)Also succeeded, but the first one will report.
% 0.54/0.72  % (8146)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8140"
% 0.54/0.72  % (8147)Also succeeded, but the first one will report.
% 0.54/0.72  % (8146)Refutation found. Thanks to Tanya!
% 0.54/0.72  % SZS status Unsatisfiable for theBenchmark
% 0.54/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.72  % (8146)------------------------------
% 0.54/0.72  % (8146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72  % (8146)Termination reason: Refutation
% 0.54/0.72  
% 0.54/0.72  % (8146)Memory used [KB]: 996
% 0.54/0.72  % (8146)Time elapsed: 0.004 s
% 0.54/0.72  % (8146)Instructions burned: 5 (million)
% 0.54/0.72  % (8140)Success in time 0.41 s
% 0.54/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------